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Finding the Third Proportional to 4,664.63 and 7,222.31

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Solution

The third proportional to 4,664.63 and 7,222.31 is: 11,182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.63 : 7,222.31 = 7,222.31 : x
  2. Step 2: Convert to fraction form
    4,664.63/7,222.31 = 7,222.31/x
  3. Step 3: Cross multiply
    4,664.63x = 7,222.31 × 7,222.31
  4. Step 4: Simplify right side
    4,664.63x = 52,161,797.85
  5. Step 5: Solve for x
    x = 52,161,797.85/4,664.63
  6. Step 6: Final answer
    x = 11,182.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.